# Higher Rank Quantum Spin Liquids: From Fractons to Emergent Gravity

**Speaker:**Michael Pretko, MIT

**When:**March 29, 2017 (Wed), 02:00PM to 03:00PM (add to my calendar)

**Location:**SCI 328

*This event is part of the Condensed Matter Theory Seminar Series. *

Quantum spin liquids are well described in the language of gauge theory. To date, most theoretical effort has focused on the study of models with a familiar vector gauge field. However, there exist stable spin liquids with more complicated gauge structure. In this talk, I will focus on three-dimensional spin liquid phases described by symmetric tensor (“higher spin”) gauge fields. I will show that these models possess exotic conservation laws which restrict the gauge charges to exist in lower-dimensional subspaces, as opposed to propagating in three-dimensional space. Some charges are even restricted to a zero-dimensional subspace and are totally immobile, in a manifestation of the fracton phenomenon. As a special case, I will discuss rank 2 symmetric tensor spin liquids, which provide us with toy models for emergent gravity.